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The nucleus which has radius one-third of the radius of Cs^189 is

1. ^4_2He
2. ^7_3Li
3. ^14_6Ba
4. ^235_92U

Correct answer: ^4_2He

Solution

The radius of a nucleus is proportional to the cube root of its mass number (R ∝ A^(1/3)). Since the radius of the desired nucleus is one-third of Cs^189, its mass number must be (1/3)^3 = 1/27 of 189, which is approximately 7. The closest option is ^4_2He.

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